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Perimeter of Astroid given Area Formula

GoPerimeter of Astroid Formula

GoPerimeter of Astroid given Radius of Rolling Circle Formula

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The Perimeter of Astroid is a closed path that encompasses, surrounds, or outlines an Astroid. Check FAQs

P = 6 \cdot \sqrt{\frac{8 \cdot A}{3 \cdot π}}

P - Perimeter of Astroid?A - Area of Astroid?π - Archimedes' constant?

Perimeter of Astroid given Area Example

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Here is how the Perimeter of Astroid given Area equation looks like with Values.

Here is how the Perimeter of Astroid given Area equation looks like with Units.

Here is how the Perimeter of Astroid given Area equation looks like.

47.8731 = 6 \cdot \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}}

47.8731m = 6 \cdot \sqrt{\frac{8 \cdot 75m²}{3 \cdot 3.1416}}

47.8731 = 6 \cdot \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}}

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Perimeter of Astroid given Area Solution

Follow our step by step solution on how to calculate Perimeter of Astroid given Area?

FIRST Step Consider the formula

P = 6 \cdot \sqrt{\frac{8 \cdot A}{3 \cdot π}}

Next Step Substitute values of Variables

∴

P = 6 \cdot \sqrt{\frac{8 \cdot 75m²}{3 \cdot π}}

Next Step Substitute values of Constants

∴

P = 6 \cdot \sqrt{\frac{8 \cdot 75m²}{3 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

P = 6 \cdot \sqrt{\frac{8 \cdot 75}{3 \cdot 3.1416}}

Next Step Evaluate

∴

P = 47.8730736481719m

LAST Step Rounding Answer

∴

P = 47.8731m

Perimeter of Astroid given Area Formula Elements

Variables

Constants

Functions

Perimeter of Astroid

The Perimeter of Astroid is a closed path that encompasses, surrounds, or outlines an Astroid.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Astroid

Area of Astroid

Area of Astroid is defined as measure of the total area or region occupied by an Astroid within its four concave sides or boundaries.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Astroid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Perimeter of Astroid

Go Perimeter of Astroid

P = 6 \cdot r Fixed Circle

Go Perimeter of Astroid given Radius of Rolling Circle

P = 24 \cdot r Rolling circle

Go Perimeter of Astroid given Chord Length

P = 6 \cdot (\frac{l c}{2 \cdot \sin (\frac{π}{4})})

How to Evaluate Perimeter of Astroid given Area?

Perimeter of Astroid given Area evaluator uses Perimeter of Astroid = 6*sqrt((8*Area of Astroid)/(3*pi)) to evaluate the Perimeter of Astroid, The Perimeter of Astroid given Area formula is defined as the outermost parts or boundary of a concave pentagon. Perimeter of Astroid is denoted by P symbol.

How to evaluate Perimeter of Astroid given Area using this online evaluator? To use this online evaluator for Perimeter of Astroid given Area, enter Area of Astroid (A) and hit the calculate button.

FAQs on Perimeter of Astroid given Area

What is the formula to find Perimeter of Astroid given Area?

The formula of Perimeter of Astroid given Area is expressed as Perimeter of Astroid = 6*sqrt((8*Area of Astroid)/(3*pi)). Here is an example- 47.87307 = 6*sqrt((8*75)/(3*pi)).

How to calculate Perimeter of Astroid given Area?

With Area of Astroid (A) we can find Perimeter of Astroid given Area using the formula - Perimeter of Astroid = 6*sqrt((8*Area of Astroid)/(3*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Astroid?

Here are the different ways to Calculate Perimeter of Astroid-

Perimeter of Astroid=6*Radius of Fixed Circle of Astroid
Perimeter of Astroid=24*Radius of Rolling Circle of Astroid
Perimeter of Astroid=6*(Chord Length of Astroid/(2*sin(pi/4)))

Can the Perimeter of Astroid given Area be negative?

No, the Perimeter of Astroid given Area, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Astroid given Area?

Perimeter of Astroid given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Astroid given Area can be measured.

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